Ground state properties of the one-dimensional electron liquid

Abstract

We present calculations of the energy, pair correlation function (PCF), static structure factor (SSF), and momentum density (MD) for the one-dimensional electron gas using the quantum Monte Carlo method. We are able to resolve peaks in the SSF at even-integer-multiples of the Fermi wave vector, which grow as the coupling is increased. Our MD results show an increase in the effective Fermi wave vector as the interaction strength is raised in the paramagnetic harmonic wire; this appears to be a result of the vanishing difference between the wave functions of the paramagnetic and ferromagnetic systems. We have extracted the Luttinger liquid exponent from our MDs by fitting to data around the Fermi wave vector, finding good agreement between the exponent of the ferromagnetic infinitely-thin wire and the ferromagnetic harmonic wire.

13 pages, 16 figures, 5 tables

References in corpus (32)

• Luttinger Liquid Behavior in Carbon Nanotubes
• One-Dimensional Fermi liquids
• Wigner Crystal in One Dimension
• Continuum variational and diffusion quantum Monte Carlo calculations
• Confinement induced molecules in a 1D Fermi gas
• Jastrow correlation factor for atoms, molecules, and solids
• Twist-averaged Boundary Conditions in Continuum Quantum Monte Carlo
• Inhomogeneous backflow transformations in quantum Monte Carlo calculations
• The Finite Size Error in Many-body Simulations with long-Ranged Interactions
• On-chain electrodynamics of metallic (TMTSF)_2 X salts: Observation of Tomonaga-Luttinger liquid response
• Experimental Evidence for Resonant-Tunneling in a Luttinger-Liquid
• Correlated transport and non-Fermi liquid behavior in single-wall carbon nanotubes
• Phase Diagram of the Low-Density Two-Dimensional Homogeneous Electron Gas
• A variance-minimization scheme for optimizing Jastrow factors
• Monte Carlo energy and variance minimization techniques for optimizing many-body wave functions
• New Model System for a One-Dimensional Electron Liquid: Self-Organized Atomic Gold Chains on Ge(001)
• Ground state properties of the one dimensional Coulomb gas
• Luttinger-liquid-like transport in long InSb nanowires
• Localization Transition in a Ballistic Quantum Wire
• Interchain conductivity of coupled Luttinger liquids and organic conductors
• Is a Trapped One-Dimensional Bose Gas a Luttinger Liquid?
• Ground-state energy of the electron liquid in ultrathin wires
• How universal is the fractional-quantum-Hall edge Luttinger liquid?
• Exact ground state properties of the one-dimensional Coulomb gas
• Fermi 1D quantum gas: Luttinger liquid approach and spin-charge separation
• The Coulomb Luttinger liquid
• Renormalization factor and effective mass of the two-dimensional electron gas
• Correlation effects in quasi one dimensional electron wires
• Temperature dependent Luttinger surfaces
• Spin and Charge Luttinger-Liquid Parameters of the One-Dimensional Electron Gas
• The electronic structure of the doped one-dimensional transition metal oxide Y1-xCaxBaNiO5 studied using x-ray absorption
• Ground-state properties of the one dimensional electron liquid

Cited by in corpus (33)

• Long-range interacting quantum systems
• Variational and Diffusion Quantum Monte Carlo Calculations with the CASINO Code
• Framework for constructing generic Jastrow correlation factors
• Exact wave functions of two-electron quantum rings
• Quasiparticle and excitonic gaps of one-dimensional carbon chains
• Uniform electron gases. I. Electrons on a ring
• Anomalous non-additive dispersion interactions in systems of three one-dimensional wires
• Interaction-range effects for fermions in one dimension
• High-density correlation energy expansion of the one-dimensional uniform electron gas
• Chemistry in One Dimension
• Generalized local-density approximation and one-dimensional finite uniform electron gases
• Phase diagram of a quantum Coulomb wire
• Effects of energy extensivity on the quantum phases of long-range interacting systems
• Dependence of structure factor and correlation energy on the width of electron wires
• One-dimensional electron fluid at high density
• Molecular electronic structure in one-dimensional Coulomb systems
• Electron correlation and confinement effects in quasi-one-dimensional quantum wires at high density
• Exact ground-state properties of one-dimensional electron gas at high density
• Harmonically trapped jellium
• Ground-state properties of electron-electron biwire systems
• Fulde-Ferrell-Larkin-Ovchinnikov pairing states of a polarized dipolar Fermi gas trapped in a one-dimensional optical lattice
• Correlated atomic wires on substrates. I. Mapping to quasi-one-dimensional models
• Symmetry-broken local-density approximation for one-dimensional systems
• Boundary conditions for star matter and other periodic fermionic systems
• Excited-State Wigner Crystals in One Dimension
• Wigner crystal induced by dipole-dipole interaction in one-dimensional optical lattices
• Wire width and density dependence of the crossover in the peak of the static structure factor from $2k_{\text{F}}$ $\to$ $4k_{\text{F}}$ in one-dimensional paramagnetic electron gases
• Extended quasiparticle Padé approximation for non-Fermi liquids
• Fermions with long and finite range interactions on a quantum ring
• Momentum distribution of He-3 in one dimension
• Ground state correlations in the one-dimensional Fermi one-component plasma
• Electronic quantum wires in extended quasiparticle picture
• Off-shell selfenergy for 1-D Fermi liquids